Plug the values into the area formula for a rectangle.
[tex]A=lw[/tex]
[tex]\frac{25}{54}=\frac59w[/tex]
Divide by 5/9. (Dividing by a fraction is the same as multiplying by its reciprocal, or flipped version of the fraction, 9/5)
[tex]\frac{225}{270}=w[/tex]
Simplify.
[tex]\frac{225}{270}=\frac{45}{54}=\boxed{\frac56\ mi}[/tex]